3(x^2+1)=67

Solution for 3(x^2+1)=67 equation:

Simplifying
3(x2 + 1) = 67

Reorder the terms:
3(1 + x2) = 67
(1 * 3 + x2 * 3) = 67
(3 + 3x2) = 67

Solving
3 + 3x2 = 67

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 3x2 = 67 + -3

Combine like terms: 3 + -3 = 0
0 + 3x2 = 67 + -3
3x2 = 67 + -3

Combine like terms: 67 + -3 = 64
3x2 = 64

Divide each side by '3'.
x2 = 21.33333333

Simplifying
x2 = 21.33333333

Take the square root of each side:
x = {-4.618802153, 4.618802153}